Solve the following mathematical problems:

The length of a tangent drawn from a point A is 12cm which is 13cm away from the centre of the circle. Find the diameter of the circle.

Created: 5 months ago | Updated: 6 days ago

Job Solution Sonali Bank Ltd Sonali Bank Ltd. || Senior Officer (29-06-2018) || 2018 গণিত

প্রশ্নে বলা হচ্ছে যে, বৃত্তের বহিঃস্থ একটি বিন্দু A হতে বৃত্তের উপর অঙ্কিত স্পর্শকের দূরত্ব 12cm এবং কেন্দ্র থেকে A বিন্দুর দূরত্ব 13cm হলে বৃত্তটির ব্যাস কত?

We depict the following figure according to question.

Here, OB is perpendicular on base AB.

So, clearly AO is hypotenuse

Now, applying Pythagorean law, we get

$O A^{2} = O B^{2} + A B^{2}$

$\Rightarrow O B^{2} = O A^{2} - A B^{2} = 13^{2} - 12^{2} = 169 - 144 = 25 ∴ O B = \sqrt{25} = \sqrt{5^{2}} = 5 ∴ O B = 5 c m$

Here, OB is radius of the circle and we know that the diameter of a circle is twice of the radius.

$∴ D i a m e t e r = 5 \times 2 = 10 c m . (a n s .)$

5 months ago

0 0

স্বপ্নদর্শী

Verified

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?

Created: 5 months ago | Updated: 6 days ago

Job Solution Sonali Bank Ltd Sonali Bank Ltd. || Senior Officer (29-06-2018) || 2018 গণিত

194

Add Description

Solve the following mathematical problems:

A two digit number is four times the sum of the two digits. If the digits are reversed, the number so obtained is 18 more than the original number. What is the original number?

Created: 5 months ago | Updated: 6 days ago

Job Solution Sonali Bank Ltd Sonali Bank Ltd. || Senior Officer (29-06-2018) || 2018 গণিত

195

Add Description

Solve the following mathematical problems:

Solve: $x^{2} - x y = 7, y^{2} + x y = 30$

Created: 5 months ago | Updated: 6 days ago

Job Solution Sonali Bank Ltd Sonali Bank Ltd. || Senior Officer (29-06-2018) || 2018 গণিত

197

Add Description

Solve the following mathematical problems:

Someone plans to invest x taka in the bond of 'M' company, which pays 10% interest and y taka in 'N' company bonds, which pay 9% interest. He will invest 9,000 taka require that he receives 850 taka as interest. How much should be invest in each company?

Created: 5 months ago | Updated: 6 days ago

Job Solution Sonali Bank Ltd Sonali Bank Ltd. || Senior Officer (29-06-2018) || 2018 গণিত

194

Add Description

Solve the following mathematical problems:

A committee of 5 persons is to be formed form 6 male and 5 female members. In how many this committee can be formed so that there is at least 1 male and 1 female member in the committee?

Created: 5 months ago | Updated: 6 days ago

Job Solution Sonali Bank Ltd Sonali Bank Ltd. || Senior Officer (29-06-2018) || 2018 গণিত

194

Add Description

Solve the following mathematical problems:

The length of a tangent drawn from a point A is 12cm which is 13cm away from the centre of the circle. Find the diameter of the circle.

Related Questions

Solve the following mathematical problems:

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?

Solve the following mathematical problems:

A two digit number is four times the sum of the two digits. If the digits are reversed, the number so obtained is 18 more than the original number. What is the original number?

A two digit number is four times the sum of the two digits. If the digits are reversed, the number so obtained is 18 more than the original number. What is the original number?

Solve the following mathematical problems:

Solve:x2-xy=7, y2+xy=30

Solve the following mathematical problems:

Someone plans to invest x taka in the bond of 'M' company, which pays 10% interest and y taka in 'N' company bonds, which pay 9% interest. He will invest 9,000 taka require that he receives 850 taka as interest. How much should be invest in each company?

Someone plans to invest x taka in the bond of 'M' company, which pays 10% interest and y taka in 'N' company bonds, which pay 9% interest. He will invest 9,000 taka require that he receives 850 taka as interest. How much should be invest in each company?

Solve the following mathematical problems:

A committee of 5 persons is to be formed form 6 male and 5 female members. In how many this committee can be formed so that there is at least 1 male and 1 female member in the committee?

A committee of 5 persons is to be formed form 6 male and 5 female members. In how many this committee can be formed so that there is at least 1 male and 1 female member in the committee?

Solve: $x^{2} - x y = 7, y^{2} + x y = 30$